Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672ba |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4736054016 = 28 · 33 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1071,-13078] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:478:27] |
Generators of the group modulo torsion |
j |
19655694576/685193 |
j-invariant |
L |
8.4407929339519 |
L(r)(E,1)/r! |
Ω |
0.83633695588506 |
Real period |
R |
5.0462871953741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25668a1 102672v2 |
Quadratic twists by: -4 -3 |